[tex]\bf x^3+x^2+\cfrac{x}{4}\iff x^3+x^2+\cfrac{1}{4}x\implies x\left( x^2+x+\frac{1}{4} \right) \\\\
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\cfrac{1}{2}\cdot \cfrac{1}{2}\implies \cfrac{1}{4}\qquad \qquad \cfrac{1}{2}+\cfrac{1}{2}\implies 1\\\\
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x\left( x+\frac{1}{2} \right)\left( x+\frac{1}{2} \right)[/tex]